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442414221220 = 22522120711061
BaseRepresentation
bin1100111000000011111…
…00010100011110100100
31120021221121102001102001
412130001330110132210
524222031020034340
6535124200055044
743651302555436
oct6340174243644
91507847361361
10442414221220
11160699326594
12718ab764484
133294791856a
14175ad252656
15b79531529a
hex6701f147a4

442414221220 has 12 divisors (see below), whose sum is σ = 929069864604. Its totient is φ = 176965688480.

The previous prime is 442414221199. The next prime is 442414221251. The reversal of 442414221220 is 22122414244.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 158896309924 + 283517911296 = 398618^2 + 532464^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11060355511 + ... + 11060355550.

It is an arithmetic number, because the mean of its divisors is an integer number (77422488717).

Almost surely, 2442414221220 is an apocalyptic number.

It is an amenable number.

442414221220 is an abundant number, since it is smaller than the sum of its proper divisors (486655643384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

442414221220 is a wasteful number, since it uses less digits than its factorization.

442414221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22120711070 (or 22120711068 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 442414221220 its reverse (22122414244), we get a palindrome (464536635464).

The spelling of 442414221220 in words is "four hundred forty-two billion, four hundred fourteen million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 22120711061 44241422122 88482844244 110603555305 221207110610 442414221220